Supergirl's disdain for Nightwing stems from her realization that he brings out qualities in her that she dislikes. Despite Nightwing's usual positive influence, his dynamic with Supergirl is ...
By proxy, that gives Nightwing access to Bea's Secret Society, if he ever needs the extra help. Then there's Barbara Gordon aka Batgirl, or "Girl Nightwing" as her reputation in Bludhaven perceives.
This is definitely the case for the new preview clip released by IGN that showcases Nightwing facing off against the titular Yakuza League, who seem to be evil incarnations of the Justice League.